unit rate in feet per inch is [tex]5.885feet/inch[/tex] .
Step-by-step explanation:
Here we have , A blueprint for a house shows the height of the house to be 3 and 5/8 inches. The actual house is 21 and 1/3 feet tall. We need to find that , What is the unit rate in feet per inch . Let's find out:
Height of house = [tex]3\frac{5}{8} inches[/tex]
Actual height of house = [tex]21\frac{1}{3} feet[/tex]
Unit rate in feet per inch:
⇒ ( Actual height )/ (Height in blueprint)
⇒ [tex]\frac{21\frac{1}{3}}{3\frac{5}{8}}[/tex]
⇒ [tex]\frac{\frac{64}{3}}{\frac{29}{8}}[/tex]
⇒ [tex]\frac{64(8)}{3(29)}[/tex]
⇒ [tex]\frac{512}{87}[/tex]
⇒ [tex]5.885feet/inch[/tex]
Therefore, unit rate in feet per inch is [tex]5.885feet/inch[/tex] .